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Simplifying -2(n + -4) + 4n = 3(n + -3) + 4 Reorder the terms: -2(-4 + n) + 4n = 3(n + -3) + 4 (-4 * -2 + n * -2) + 4n = 3(n + -3) + 4 (8 + -2n) + 4n = 3(n + -3) + 4 Combine like terms: -2n + 4n = 2n 8 + 2n = 3(n + -3) + 4 Reorder the terms: 8 + 2n = 3(-3 + n) + 4 8 + 2n = (-3 * 3 + n * 3) + 4 8 + 2n = (-9 + 3n) + 4 Reorder the terms: 8 + 2n = -9 + 4 + 3n Combine like terms: -9 + 4 = -5 8 + 2n = -5 + 3n Solving 8 + 2n = -5 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 8 + 2n + -3n = -5 + 3n + -3n Combine like terms: 2n + -3n = -1n 8 + -1n = -5 + 3n + -3n Combine like terms: 3n + -3n = 0 8 + -1n = -5 + 0 8 + -1n = -5 Add '-8' to each side of the equation. 8 + -8 + -1n = -5 + -8 Combine like terms: 8 + -8 = 0 0 + -1n = -5 + -8 -1n = -5 + -8 Combine like terms: -5 + -8 = -13 -1n = -13 Divide each side by '-1'. n = 13 Simplifying n = 13
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